Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity

Priyanjana M N Dharmawardane, Tohru Nakamura, Shuichi Kawashima

Research output: Contribution to journalArticle

Abstract

The aim in this paper is to develop the time-weighted energy method for quasilinear hyperbolic systems of viscoelasticity. As a consequence, we prove the global existence and decay estimate of solutions for the space dimension n ≥ 2, provided that the initial data are small in the L2-Sobolev space.

Original languageEnglish
Pages (from-to)99-102
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Volume87
Issue number6
DOIs
Publication statusPublished - 2011 Jun 1
Externally publishedYes

Fingerprint

Quasilinear Hyperbolic System
Decay Estimates
Viscoelasticity
Energy Method
Global Existence
Sobolev Spaces

Keywords

  • Decay estimate
  • Global existence
  • Time-weighted energy method
  • Viscoelasticity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Time-weighted energy method for quasi-linear hyperbolic systems of viscoelasticity. / Dharmawardane, Priyanjana M N; Nakamura, Tohru; Kawashima, Shuichi.

In: Proceedings of the Japan Academy Series A: Mathematical Sciences, Vol. 87, No. 6, 01.06.2011, p. 99-102.

Research output: Contribution to journalArticle

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